Evan has a shell collection. on monday, he found 6 new shells. on tuesday, he gave 9 shells to his friends. after giving the shells away, he had 37 left. how many did he have to start?

40 shells

Step-by-step explanation:

Let Evan has the number of shells on Monday = x

He found 6 new shells.

Now he has the number of shells = (x + 6)

On Tuesday, he gave 9 shells to his friends = (x + 6) - 9

After giving the shells away, he had 37 shells left.

(x + 6) - 9 = 37

x + 6 = 37 + 9

x + 6 = 46

x = 46 - 6

x = 40

Evan had 40 shells at the start.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

answer: 12,000

step-by-step explanation: first you ar e supposed to add. then multiply then subtract